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Finding the Third Proportional to 509,906 and 786,819

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Solution

The third proportional to 509,906 and 786,819 is: 1,214,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906 : 786,819 = 786,819 : x
  2. Step 2: Convert to fraction form
    509,906/786,819 = 786,819/x
  3. Step 3: Cross multiply
    509,906x = 786,819 × 786,819
  4. Step 4: Simplify right side
    509,906x = 619,084,138,761
  5. Step 5: Solve for x
    x = 619,084,138,761/509,906
  6. Step 6: Final answer
    x = 1,214,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.